- #1

RJLiberator

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## Homework Statement

A good hitter in baseball has a batting average of .300 which means that the hitter will be successful three times out of 10 tries on average. Assume that the batter has four times at bat per game.

a) What is the probability that he will get two hits or less in a three game series?

b) What is the probability that he will get five or more hits in a three-game series?

## Homework Equations

Binomial distribution: [tex] P_n(n) = \frac{N!}{n!(N-n)!}p^nq^{(N-n)}[/tex]

## The Attempt at a Solution

For a) I use

p = 0.300

q = 0.700

n = 2 hits or less

N = 12 aka total at bats

I solve directly and get an answer of 0.168.

This seems reasonable to me.

Am I using the binomial distribution correctly here? If so, I will proceed to part b.

Thank you.